The Sun is reporting that Carlos Carvalhal could be out of a job at Swansea if they are relegated.
The Swans are in very serious danger of going down, after losing their most recent home game 1-0 to Southampton.
A Manolo Gabbiadini goal was enough to give the Saints all three points in the crucial relegation six-pointer.
There were some suggestions a month ago that Swansea would keep Carvalhal even if they were relegated.
But they have not won a Premier League game since beating West Ham United 4-1 in March. They have lost four straight games.
Carvalhal could be on his way when relegation is confirmed at the weekend.